Dodecaphonic solfege (opens in new tab)

I love mental play (singing the notes of a melody or a harmony in my head) know and use the traditional solfège (do-re-mi-fa-sol-la-si), but it only has seven notes. The black keys have no names and singing “flat” or “sharp” breaks the stride of the solfège. This, over time, made me way less confident when playing music that uses lots of black keys.